The following parameters are based on a preliminary line design: \(\mathrm{V}_{\mathrm{S}}=\) 1.0 per unit, \(\mathrm{V}_{\mathrm{R}}=0.9\) per unit, \(\lambda=5000 \mathrm{~km}, \mathrm{Z}_{\mathrm{c}}=320 \Omega, \delta=36.8^{\circ}\).

A three-phase power of \(700 \mathrm{MW}\) is to be transmitted to a substation located \(315 \mathrm{~km}\) from the source of power.

(a) Determine a nominal voltage level for the three-phase transmission line, based on the practical lineloadability equation.

(b) For the voltage level obtained in part (a), determine the theoretical maximum power that can be transferred by the line.